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Simplifying -29 + 5k = -6(-6 + -3k) -29 + 5k = (-6 * -6 + -3k * -6) -29 + 5k = (36 + 18k) Solving -29 + 5k = 36 + 18k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-18k' to each side of the equation. -29 + 5k + -18k = 36 + 18k + -18k Combine like terms: 5k + -18k = -13k -29 + -13k = 36 + 18k + -18k Combine like terms: 18k + -18k = 0 -29 + -13k = 36 + 0 -29 + -13k = 36 Add '29' to each side of the equation. -29 + 29 + -13k = 36 + 29 Combine like terms: -29 + 29 = 0 0 + -13k = 36 + 29 -13k = 36 + 29 Combine like terms: 36 + 29 = 65 -13k = 65 Divide each side by '-13'. k = -5 Simplifying k = -5
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